Hurwitz numbers for reflection groups III: Uniform formulas
Combinatorics
2025-05-20 v1 Group Theory
Abstract
We give uniform formulas for the number of full reflection factorizations of a parabolic quasi-Coxeter element in a Weyl group or complex reflection group, generalizing the formula for the genus-0 Hurwitz numbers. This paper is the culmination of a series of three.
Cite
@article{arxiv.2308.04751,
title = {Hurwitz numbers for reflection groups III: Uniform formulas},
author = {Theo Douvropoulos and Joel Brewster Lewis and Alejandro H. Morales},
journal= {arXiv preprint arXiv:2308.04751},
year = {2025}
}
Comments
36 pages, comments very much welcome!